From 6279fa19ac6e2a4087df2e6fe985430ecc2c2d5d Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:53:46 +0530 Subject: Removed duplicates --- Problems_In_Hydraulics_by_R._S._Paradise/ch1.ipynb | 466 +++++++++++++++++++++ 1 file changed, 466 insertions(+) create mode 100755 Problems_In_Hydraulics_by_R._S._Paradise/ch1.ipynb (limited to 'Problems_In_Hydraulics_by_R._S._Paradise/ch1.ipynb') diff --git a/Problems_In_Hydraulics_by_R._S._Paradise/ch1.ipynb b/Problems_In_Hydraulics_by_R._S._Paradise/ch1.ipynb new file mode 100755 index 00000000..8ed87e00 --- /dev/null +++ b/Problems_In_Hydraulics_by_R._S._Paradise/ch1.ipynb @@ -0,0 +1,466 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:82344ff688f3e86a09716345a8eb43cec4a8aadc2157f526516e21d9f1e84d30" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 1 : Hydrostatics" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.2 Page No : 5" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#initialisation of variables\n", + "w= 62.4 #lb/ft**3\n", + "A= 18. #ft**2\n", + "x= 6. # height ft\n", + "kg= 6.\n", + "y= 2. #ft hinges\n", + "y1= 5. #ft\n", + "\n", + "#CALCULATIONS\n", + "F= w*A*x\n", + "F1= F/2\n", + "Ft= (F*y-F1*(y1/2))/y1\n", + "Fb= F1-Ft\n", + "\n", + "#RESULTS\n", + "print 'Force exerted on the bolt = %.f lb'%(F1)\n", + "print ' Force exerted on the hinge = %.f lb'%(Ft)\n", + "print ' Force exerted on the bolt = %.f lb'%(Fb)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Force exerted on the bolt = 3370 lb\n", + " Force exerted on the hinge = 1011 lb\n", + " Force exerted on the bolt = 2359 lb\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.3 Page No : 6" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#initialisation of variables\n", + "h1= 11.54 \t#ft\n", + "h2= 16.33 \t#ft\n", + "w= 62.4 \t#lb/ft**3\n", + "x1= 7.69 \t#ft\n", + "x2= 14.09 \t#ft\n", + "x3= 18.23 \t#ft\n", + "\n", + "#CALCULATIONS\n", + "Ft= round(w*h1**2/2)\n", + "\n", + "#RESULTS\n", + "print 'h1 = %.2f ft'%(h1)\n", + "print ' h2 = %.2f ft'%(h2)\n", + "print ' h1+ = %.2f ft'%(x1)\n", + "print ' h2+ = %.2f ft'%(x2)\n", + "print ' h3+ = %.2f ft'%(x3)\n", + "print ' Thrust force = %.f lb/ft run'%(round(Ft,-1))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "h1 = 11.54 ft\n", + " h2 = 16.33 ft\n", + " h1+ = 7.69 ft\n", + " h2+ = 14.09 ft\n", + " h3+ = 18.23 ft\n", + " Thrust force = 4160 lb/ft run\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.4 Page No : 8" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#initialisation of variables\n", + "spo= 0.9 # gravity\n", + "h= 3. \t#ft depth\n", + "d= 2. \t #ft depth of water\n", + "w= 62.4 \t#lb/ft**3\n", + "H= 0.71 \t#ft\n", + "\n", + "#CALCULATIONS\n", + "do= spo*w\n", + "de= w*d\n", + "bc= do*h\n", + "Pt= (bc*(h/2)+bc*d+de*(d/2))*(h+d)\n", + "y= (bc*(h/2)+bc*d+de*(d/2)*(d/3))*(h+d)/Pt+H\n", + "\n", + "#RESULTS\n", + "print \"Total pressure = %d lb\"%(Pt)\n", + "print ' position of centre of pressure above the base = %.2f ft position of centre of pressure above the axis '%(y)\n", + "\n", + "# rounding off error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Total pressure = 3572 lb\n", + " position of centre of pressure above the base = 1.65 ft position of centre of pressure above the axis \n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.5 Page No : 9" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#initialisation of variables\n", + "a= 30. \t#degrees\n", + "b= 30. \t#degrees\n", + "h= 20. \t#ft width of lock\n", + "h1= 10. \t#ft water level\n", + "h2= 15. \t#ft water level\n", + "h3= 16. \t#ft high\n", + "w= 62.4 \t#lb/ft**3\n", + "h4= 10./3 \t#ft\n", + "\n", + "#CALCULATIONS\n", + "Rt= (1./h3)*((w*(h*h2**2*(h2/3)/(2*math.sqrt(3))))-(w*(h*h1**2*h4/(2*math.sqrt(3)))))\n", + "R= ((w*(h*h2**2/(2*math.sqrt(3))))-(w*(h*h1**2/(2*math.sqrt(3)))))\n", + "Rb= R-Rt\n", + "\n", + "#RESULTS\n", + "print 'Force at the hinge = %.f lb '%(Rt)\n", + "print ' Force at the hinge = %.f lb '%(Rb)\n", + "\n", + "# Note : Round off error in textbook\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Force at the hinge = 17826 lb \n", + " Force at the hinge = 27208 lb \n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.6 Page No : 10" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "\n", + "#initialisation of variables\n", + "x= 32. \t #ft\n", + "h= 60. \t#ft depth\n", + "w= 62.4 \t#lb/ft**3\n", + "AE= 20. \t#ft\n", + "\n", + "#CALCULATIONS\n", + "Vabc= 2*x*h/3\n", + "vc= Vabc*w\n", + "Tab= w*h**2/2\n", + "Rt= math.sqrt(vc**2+Tab**2)/2240\n", + "A= math.degrees(math.atan(vc/Tab))\n", + "AD= x-AE+AE*(1/(math.tan(math.radians(A))))\n", + "\n", + "\n", + "#RESULTS\n", + "print \"resulmath.tant thrust = %.1f tons\"%(Rt)\n", + "print \" Angle = %.2f degrees\"%(A)\n", + "print ' AD = %.1f ft '%(AD)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "resulmath.tant thrust = 61.5 tons\n", + " Angle = 35.42 degrees\n", + " AD = 40.1 ft \n" + ] + } + ], + "prompt_number": 29 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.7 Page No : 12" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "#initialisation of variables\n", + "wdc= 3*math.sqrt(3) \t#ft\n", + "wdo= math.sqrt(3)\n", + "ac= 30. \t#degrees\n", + "ao= 60. \t#degrees\n", + "hob= 3. \t#ft\n", + "haf= 2.6 \t#ft\n", + "hfc= 3. \t#ft\n", + "w= 62.4 \t#lb/ft**3\n", + "V= 5.63 \t#ft**3\n", + "h= 4.3 \t#ft\n", + "y= 3.6 \t #ft\n", + "\n", + "#CALCULATIONS\n", + "W1= int(wdc*hfc*w/2)\n", + "Hbc= round(w*hob*(hob/2))\n", + "W2= int(V*w)\n", + "W3= int(w*haf*h)\n", + "Vt= W1+W2\n", + "Vht= Hbc+W3\n", + "Rt= int(math.sqrt(Vt**2+Vht**2))\n", + "A= math.degrees(math.atan(Vht/Vt))\n", + "x= (W1*(wdo-(hob/2))+Hbc*y)/Rt\n", + "OP= x/math.sin(math.radians(A))\n", + "AP= hob+OP\n", + "\n", + "#RESULTS\n", + "print \"Resultant thrust = %d lb\"%(Rt)\n", + "print \" Angle = %.2f degrees \"%(A)\n", + "print ' Distance from A till horizontal thrust = %.3f ft '%(AP)\n", + "\n", + "\n", + "# rounding off error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Resultant thrust = 1287 lb\n", + " Angle = 49.44 degrees \n", + " Distance from A till horizontal thrust = 4.150 ft \n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.8 Page No : 14" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "#initialisation of variables\n", + "r= 96. # T air\n", + "T= 10.5 \t#C\n", + "K1= 288. \t#C temperature gound level\n", + "K2= 0.0015 \t#C**-1 temperature gradient\n", + "h= 3000. \t#ft height\n", + "P1= 14.69\n", + "\n", + "#CALCULATIONS\n", + "P2= P1*10**(((1/(r*K2))*math.log10((K1-K2*h)/K1)))\n", + "w= P2*144/(r*(273+T))\n", + "\n", + "#RESULTS\n", + "print 'Density = %.4f lb/ft**3 '%(w)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Density = 0.0697 lb/ft**3 \n" + ] + } + ], + "prompt_number": 31 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.9 Page No : 15" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "#initialisation of variables\n", + "Hb= 20. \t#in ratio\n", + "Ha= 1. \t#in ratio\n", + "a= 20. \t #degrees\n", + "\n", + "#CALCULATIONS\n", + "hb= Hb*math.sin(math.radians(a))\n", + "dh= hb+Ha\n", + "dP= dh/(12*2.309)\n", + "\n", + "#RESULTS\n", + "print 'Pressure difference between tapping points = %.3f lb/in**2 '%(dP)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Pressure difference between tapping points = 0.283 lb/in**2 \n" + ] + } + ], + "prompt_number": 32 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1.10 Page No : 16" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\n", + "#initialisation of variables\n", + "P= 180. \t#ln/in**2 pressure\n", + "r= 53. #T air\n", + "T= 60. \t#F temperature of air\n", + "w= 62.4 \t#lb/ft**3\n", + "h= 12. \t #in water level\n", + "\n", + "#CALCULATIONS\n", + "R= P*144/(r*(460+T))\n", + "dP= 12*(1-(R/w))\n", + "Pab= dP/(12*2.309)\n", + "\n", + "#RESULTS\n", + "print 'Difference in water level = %.2f in of water '%(dP)\n", + "print \" Pressure difference = %.3f lb/in**2\"%(Pab)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Difference in water level = 11.82 in of water \n", + " Pressure difference = 0.427 lb/in**2\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit